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Finding the Third Proportional to 112,911 and 165,126

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Solution

The third proportional to 112,911 and 165,126 is: 241,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,911 : 165,126 = 165,126 : x
  2. Step 2: Convert to fraction form
    112,911/165,126 = 165,126/x
  3. Step 3: Cross multiply
    112,911x = 165,126 × 165,126
  4. Step 4: Simplify right side
    112,911x = 27,266,595,876
  5. Step 5: Solve for x
    x = 27,266,595,876/112,911
  6. Step 6: Final answer
    x = 241,487.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.